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Simplifying 5(x + -6) = 34 + -3x Reorder the terms: 5(-6 + x) = 34 + -3x (-6 * 5 + x * 5) = 34 + -3x (-30 + 5x) = 34 + -3x Solving -30 + 5x = 34 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -30 + 5x + 3x = 34 + -3x + 3x Combine like terms: 5x + 3x = 8x -30 + 8x = 34 + -3x + 3x Combine like terms: -3x + 3x = 0 -30 + 8x = 34 + 0 -30 + 8x = 34 Add '30' to each side of the equation. -30 + 30 + 8x = 34 + 30 Combine like terms: -30 + 30 = 0 0 + 8x = 34 + 30 8x = 34 + 30 Combine like terms: 34 + 30 = 64 8x = 64 Divide each side by '8'. x = 8 Simplifying x = 8
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